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Finding the Third Proportional to 146,232 and 330,291

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Solution

The third proportional to 146,232 and 330,291 is: 746,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,232 : 330,291 = 330,291 : x
  2. Step 2: Convert to fraction form
    146,232/330,291 = 330,291/x
  3. Step 3: Cross multiply
    146,232x = 330,291 × 330,291
  4. Step 4: Simplify right side
    146,232x = 109,092,144,681
  5. Step 5: Solve for x
    x = 109,092,144,681/146,232
  6. Step 6: Final answer
    x = 746,021.01

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.